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Finding the Fourth Proportional to 412,442.82, 569,177.82 and 231,195.06

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Solution

The fourth proportional to 412,442.82, 569,177.82 and 231,195.06 is: 319,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,442.82 : 569,177.82 = 231,195.06 : x
  2. Step 2: Convert to fraction form
    412,442.82/569,177.82 = 231,195.06/x
  3. Step 3: Cross multiply
    412,442.82x = 569,177.82 × 231,195.06
  4. Step 4: Simplify right side
    412,442.82x = 131,591,100,245.57
  5. Step 5: Solve for x
    x = 131,591,100,245.57/412,442.82
  6. Step 6: Final answer
    x = 319,052.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.